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12130506141220 = 2252081291458581
BaseRepresentation
bin1011000010000101101010…
…0000100110111000100100
31120221122221211101222122101
42300201122200212320210
53042221234033004340
641444402205341444
72361254151632155
oct260413240467044
946848854358571
1012130506141220
113957578525365
12143ab81b67884
1369cb953b985c
142dd19639b92c
15160820411c9a
hexb085a826e24

12130506141220 has 24 divisors (see below), whose sum is σ = 25486304244408. Its totient is φ = 4849870771200.

The previous prime is 12130506141181. The next prime is 12130506141223. The reversal of 12130506141220 is 2214160503121.

It can be written as a sum of positive squares in 4 ways, for example, as 1669049316 + 12128837091904 = 40854^2 + 3482648^2 .

It is a super-2 number, since 2×121305061412202 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12130506141223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145687671 + ... + 145770910.

It is an arithmetic number, because the mean of its divisors is an integer number (1061929343517).

Almost surely, 212130506141220 is an apocalyptic number.

12130506141220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12130506141220 is an abundant number, since it is smaller than the sum of its proper divisors (13355798103188).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12130506141220 is a wasteful number, since it uses less digits than its factorization.

12130506141220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291460671 (or 291460669 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

Adding to 12130506141220 its reverse (2214160503121), we get a palindrome (14344666644341).

The spelling of 12130506141220 in words is "twelve trillion, one hundred thirty billion, five hundred six million, one hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 2081 4162 8324 10405 20810 41620 291458581 582917162 1165834324 1457292905 2914585810 5829171620 606525307061 1213050614122 2426101228244 3032626535305 6065253070610 12130506141220